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PureMathematics
n
Ø
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,2021,11(9),1673-1678
PublishedOnlineSeptember2021inHans.http://www.hanspub.org/journal/pm
https://doi.org/10.12677/pm.2021.119186
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TheSymbolFunctionsofBounded
SmallHankelOperators
betweenDifferent
FockSpace
ErminWang,YechengShi
∗
SchoolofMathematicsandStatistics,LingnanNormalUniversity,ZhanjiangGuangdong
Received:Aug.17
th
,2021;accepted:Sep.19
th
,2021;published:Sep.26
th
,2021
∗
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n
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,2021,11(9):1673-1678.
DOI:10.12677/pm.2021.119186
¯
,
–
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¤
Abstract
For
α
1
,α
2
>
0
,
1
<p
2
<p
1
<
∞
,westudythepropertyofsymbolfunctions
f
whenthe
smallHankeloperators
h
α
2
f
areboundedfrom
F
p
1
α
1
to
F
p
2
α
2
.
Keywords
SmallHankelOperators,FockSpaces,Symb olFunction
Copyright
c
2021byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution International License (CCBY 4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/pm.2021.1191861676
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j
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n
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[1]Berger,C.A.andCoburn,L.A.(1987)ToeplitzOperatorsontheSegal-BargmannSpace.
TransactionsoftheAmericanMathematicalSociety
,
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,813-829.
https://doi.org/10.1090/S0002-9947-1987-0882716-4
[2]Berger,C.A.andCoburn,L.A.(1994)HeatFlowandBerezin-ToeplitzEstimates.
American
JournalofMathematics
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,563-590.https://doi.org/10.2307/2374991
[3]Janson,S.,Peetre,J.andRochberg,R.(1987)HankelFormsandtheFockSpace.
Revista
Matem´aticaIberoamericana
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,61-138.https://doi.org/10.4171/RMI/46
[4]Tung,J.(2005)FockSpaces.Ph.D.Thesis,UniversityofMichigan,AnnArbor.
[5]Zhu,K.H.(2012)AnalysisonFockSpaces.Springer,NewYork.
DOI:10.12677/pm.2021.1191861678
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